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Harman [31]
4 years ago
13

I need this ASAP PLS HELP

Mathematics
1 answer:
nikdorinn [45]4 years ago
6 0

Answer:

  8.0

Step-by-step explanation:

The attached shows guesses until we have an answer accurate to 6 decimal places. Rounded to 1 decimal place, the answer is 8.0 years.

This (8 years) was our initial guess, based on the "rule of 72" which says the doubling time for 9% interest is 72/9 = 8 years.

Our second guess, at 8.1, was farther away from the doubled value, so the first guess at 8.0 is closer.

  t = 8.0

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Find an equation for the plane which passes through the point p(1,3,3) and contains the line: l:x(t)=3t,y(t)=2t,z(t)=4+3t
BARSIC [14]

Answer:


Step-by-step explanation:

Given that the plane passes through (1,3,3)

Also the plane contains the line x(t)=3t,y(t)=2t,z(t)=4+3t.

This means all points lying in this line will also lie in the plane.

Find out two points on this line.

First point: Let t =0.  Point is (0,0,4)

Next point : Let t = 1: Point is (3,2,7)

Now we have 3 non collinear points (0,0,4) (3,2,7) and (1,3,3) lying on the plane.

Equation of the plane is

\left[\begin{array}{ccc}x-0&y-0&z-4\\3&2&3\\1&3&-1\end{array}\right] =0

Simplify to get

x(-2-9)-y(-3-3)+(z-4)(9-2)=0

i.e -11x+6y+7z-28 =0

11x-6y-7z+28 =0 is the equation of the plane.


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4 years ago
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